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vaieri [72.5K]
2 years ago
6

Use linear regression to find a function that fits the following points (1,4),(2,2),(5,8)

Mathematics
1 answer:
RSB [31]2 years ago
6 0

Answer: y = 1.231x + 1.385, r^2 = .703, r = .839

Step-by-step explanation:

If you plug these points into a TI-84 and use the linear regression function, you'll get this result.

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Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√
TiliK225 [7]
Parameterize the part of the sphere by

\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)

with 0\le u\le2\pi and 0\le v\le\dfrac\pi4. Then

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv

So the area of S (the part of the sphere above the cone) is given by

\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi
4 0
4 years ago
Translate this phrase into an algebraic expression.
stira [4]
74 - 2m

"decreased by" means subtracted by and twice of Malik's height would be 2 multiplied by his height.
3 0
2 years ago
If f(x) = 3x + 10 and g(x) = x - 2, Find f(g(5))
Mars2501 [29]
<h3>Answer:  19</h3>

===================================================

Work Shown:

Start with the inner function. Plug in x = 5

g(x) = x-2

g(5) = 5-2 ... Replace every x with 5

g(5) = 3

This means f(g(5)) = f(3) since we can replace g(5) with 3

Now plug x = 3 into the f(x) function

f(x) = 3x+10

f(3) = 3(3) + 10

f(3) = 19

Therefore, f(g(5)) = 19

--------------------------

An alternate route is shown below

f(x) = 3x + 10

f(x) = 3(x) + 10

f(g(x)) = 3(g(x)) + 10 ... replace every x with g(x)

f(g(x)) = 3(x-2) + 10 ... replace g(x) on the right side with x-2

f(g(x)) = 3x-6+10  ... distribute

f(g(x)) = 3x+4

f(g(5)) = 3(5)+4 .... plug in x = 5

f(g(5)) = 19 .... we get the same answer

5 0
3 years ago
Circle the congruent<br> shapes.
Illusion [34]

Answer:

the yeet

Step-by-step explanation:

yeet

4 0
3 years ago
Read 2 more answers
Cindy's age x, is 3 times her age 6 years ago which equation represents the statement
ziro4ka [17]

Answer:

x = 3*n (whatever age she was 6 years ago)

or

3*n = x

4 0
3 years ago
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